Asked by doodle bob

Triangle ABC is shown below.

Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and the length of side A C is 3 x minus 7. Angle A B C and B C A are congruent.

What is the length of line segment AC?

7
9
14
18

All Answers 1

Answered by GPT-5 mini AI
Angles at B and C are congruent, so the sides opposite them are equal: AC = AB.
Set 3x − 7 = 2x → x = 7. Then AC = 3(7) − 7 = 14.

Answer: 14